Quantum information as a non-kolmogorovian generalization of Shannon's theory

Autores
Holik, Federico Hernán; Bosyk, Gustavo Martin; Bellomo, Guido
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.
Fil: Holik, Federico Hernán. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Bellomo, Guido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
QUANTUM PROBABILITY
GENERALIZED MAJORIZATION
INFORMATION THEORY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/99763
Acceder
id CONICETDig_3e24024e65342f2e833f2671bff884aa
oai_identifier_str oai:ri.conicet.gov.ar:11336/99763
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Quantum information as a non-kolmogorovian generalization of Shannon's theoryHolik, Federico HernánBosyk, Gustavo MartinBellomo, GuidoQUANTUM PROBABILITYGENERALIZED MAJORIZATIONINFORMATION THEORYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.Fil: Holik, Federico Hernán. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaFil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Bellomo, Guido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaMolecular Diversity Preservation International2015-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/99763Holik, Federico Hernán; Bosyk, Gustavo Martin; Bellomo, Guido; Quantum information as a non-kolmogorovian generalization of Shannon's theory; Molecular Diversity Preservation International; Entropy; 17; 11; 10-2015; 7349-73731099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/e17117349info:eu-repo/semantics/altIdentifier/url/http://www.mdpi.com/1099-4300/17/11/7349/htminfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:24:51Zoai:ri.conicet.gov.ar:11336/99763instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:24:51.387CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum information as a non-kolmogorovian generalization of Shannon's theory
title Quantum information as a non-kolmogorovian generalization of Shannon's theory
spellingShingle Quantum information as a non-kolmogorovian generalization of Shannon's theory
Holik, Federico Hernán
QUANTUM PROBABILITY
GENERALIZED MAJORIZATION
INFORMATION THEORY
title_short Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_full Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_fullStr Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_full_unstemmed Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_sort Quantum information as a non-kolmogorovian generalization of Shannon's theory
dc.creator.none.fl_str_mv Holik, Federico Hernán
Bosyk, Gustavo Martin
Bellomo, Guido
author Holik, Federico Hernán
author_facet Holik, Federico Hernán
Bosyk, Gustavo Martin
Bellomo, Guido
author_role author
author2 Bosyk, Gustavo Martin
Bellomo, Guido
author2_role author
author
dc.subject.none.fl_str_mv QUANTUM PROBABILITY
GENERALIZED MAJORIZATION
INFORMATION THEORY
topic QUANTUM PROBABILITY
GENERALIZED MAJORIZATION
INFORMATION THEORY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.
Fil: Holik, Federico Hernán. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Bellomo, Guido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.
publishDate 2015
dc.date.none.fl_str_mv 2015-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/99763
Holik, Federico Hernán; Bosyk, Gustavo Martin; Bellomo, Guido; Quantum information as a non-kolmogorovian generalization of Shannon's theory; Molecular Diversity Preservation International; Entropy; 17; 11; 10-2015; 7349-7373
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/99763
identifier_str_mv Holik, Federico Hernán; Bosyk, Gustavo Martin; Bellomo, Guido; Quantum information as a non-kolmogorovian generalization of Shannon's theory; Molecular Diversity Preservation International; Entropy; 17; 11; 10-2015; 7349-7373
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/e17117349
info:eu-repo/semantics/altIdentifier/url/http://www.mdpi.com/1099-4300/17/11/7349/htm
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614245719736320
score 13.070432

Publicaciones similares